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Numerical studies on stability of slender supporting structures

Sokół K., Uzny S.

Journal of Applied Mathematics and Computational Mechanics

2016

Vol. 15, nr 2

157--165

In this paper the results of studies on stability of the geometrically non-linear column (slender system) composed of two rods have been presented. The supporting structure has a defect in the form of cracks which are present in each of rods. The cracks are simulated by means of rotational springs. On the basis of the total potential energy principle, the boundary problem is being formulated. The results show an influence of the crack size on the stability of the column in particular on bifurcation load magnitude.